Band geometry of higher Landau levels

ORAL

Abstract

A set of recent results have shown that the quantum geometry of bands as encoded in quantities such as the mean fluctuations of the Berry curvature and the quantum metric provide a useful way of analyzing the stability of FQHE phases in Chern bands. These quantum geometric quantities measure the closeness of Chern bands to the lowest Landau level. Here, we find a more complete set of criteria for the stability of FQHE phases which incorporate a distance measure to an arbitrary Landau level.

*Supported by the NSF under CAREER DMR-1455368 and the Alfred P. Sloan foundation

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Authors

  • Rahul Roy

    • University of California, Los Angeles

  • Fenner Harper

    • University of California, Los Angeles

  • Thomas Jackson

    • University of California, Los Angeles